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Finding the Fourth Proportional to 4,493.68, 6,205.24 and 2,818

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Solution

The fourth proportional to 4,493.68, 6,205.24 and 2,818 is: 3,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.68 : 6,205.24 = 2,818 : x
  2. Step 2: Convert to fraction form
    4,493.68/6,205.24 = 2,818/x
  3. Step 3: Cross multiply
    4,493.68x = 6,205.24 × 2,818
  4. Step 4: Simplify right side
    4,493.68x = 17,486,366.32
  5. Step 5: Solve for x
    x = 17,486,366.32/4,493.68
  6. Step 6: Final answer
    x = 3,891.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.